10101001440 has 48 divisors (see below), whose sum is σ = 31818156048. Its totient is φ = 2693600256.

The previous prime is 10101001439. The next prime is 10101001441. The reversal of 10101001440 is 4410010101.

It is an interprime number because it is at equal distance from previous prime (10101001439) and next prime (10101001441).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10521397 + ... + 10522356.

It is an arithmetic number, because the mean of its divisors is an integer number (662878251).

Almost surely, 2^10101001440 is an apocalyptic number.

10101001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101001440 is an abundant number, since it is smaller than the sum of its proper divisors (21717154608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101001440 is a wasteful number, since it uses less digits than its factorization.

10101001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21043771 (or 21043763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10101001440 its reverse (4410010101), we get a palindrome (14511011541).

The spelling of 10101001440 in words is "ten billion, one hundred one million, one thousand, four hundred forty".